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In: Statistics and Probability

Problem 2 In the land of Skyrim, two-thirds of city guards were previously adventurers, but were...

Problem 2
In the land of Skyrim, two-thirds of city guards were previously adventurers, but were forced to change professions after sustaining career-ending arrow-related knee injuries. Consider K to be a random variable representing the number of knee-injured guards working in a city that has 25 guards employed in total. Evaluate the following probabilities:
a) P(K = 16)
b) P(K = 17)
c) P(5 <= K < 11)
d) P(K = 0)
e) P(K = 25)
f) P(3 < K)

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